Women in Numbers Europe IV: Research Directions in Number Theory
暫譯: 歐洲女性數學家 IV：數論研究方向

本卷包含基於現代數論和算術幾何各種主題的研究和說明性內容。本卷中的研究源自或與於2022年夏季在荷蘭烏特勒支舉行的第四屆「女性數字」歐洲會議（Women in Numbers Europe, WiNE IV）相關。
本卷的內容對於專業數學家、研究生以及從事數論、算術幾何及相關領域的研究人員具有興趣。

Ramla Abdellatif is an associate professor at Université de Picardie Jules Verne (Amiens, France). Her main research topic concerns the p-modular and p-adic Langlands correspondences for p-adic groups, which lie at the intersection of arithmetic geometry, representation theory and number theory, but she also has an interest in Lubin-Tate formal groups and effective aspects of Fontaine-Mazur conjecture. She has been involved in the Women in Numbers Europe conferences from the first edition: first as a group co-leader (2013), then as a group leader (2019) and last as an organiser (2022).
Valentijn Karemaker is an assistant professor of mathematics at Utrecht University. She previously held positions at the University of Pennsylvania and Stockholm University. Her research is in arithmetic geometry, with a focus on arithmetic properties of (supersingular) abelian varieties in positive characteristic, Drinfeld modules and local-global principles. She has been a member of the Women in Numbers research network since the first European conference in 2013 and was an organiser of the WiNE IV conference in 2022.
Lejla Smajlovic is a professor of mathematics at University of Sarajevo. Her research is in automorphic forms, with a focus on spectral properties of the Laplacian, the heat kernel and associated zeta and L-functions. She serves as a Managing Editor of the Journal of Number Theory and as a member of the Editorial Board of the Bulletin of the Malaysian Mathematical Sciences Society and Albanian Journal of Mathematics. She has been a member of the Women in Numbers research network since the first European conference in 2013 and will be an organiser of the WiNE V conference in 2025.

**Ramla Abdellatif** 是法國皮卡第朱爾·凡爾大學（Université de Picardie Jules Verne, Amiens）的副教授。她的主要研究主題涉及 p-模和 p-進 Langlands 對應，這些研究位於算術幾何、表示理論和數論的交集，但她也對 Lubin-Tate 正式群和 Fontaine-Mazur 猜想的有效性方面感興趣。自第一屆以來，她一直參與「女性與數字歐洲」會議：最初擔任小組共同領導（2013年），然後擔任小組領導（2019年），最後擔任組織者（2022年）。

**Valentijn Karemaker** 是烏特勒支大學的數學助理教授。她曾在賓夕法尼亞大學和斯德哥爾摩大學任職。她的研究領域是算術幾何，專注於正特徵下（超奇異）阿貝爾多樣體的算術性質、Drinfeld 模塊和局部-全局原則。自2013年第一屆歐洲會議以來，她一直是「女性與數字」研究網絡的成員，並於2022年擔任 WiNE IV 會議的組織者。

**Lejla Smajlovic** 是薩拉熱窩大學的數學教授。她的研究領域是自同態形式，專注於拉普拉斯算子、熱核及相關的 zeta 和 L-函數的譜性質。她擔任《數論期刊》的主編，並且是馬來西亞數學科學學會公報和阿爾巴尼亞數學期刊的編輯委員會成員。自2013年第一屆歐洲會議以來，她一直是「女性與數字」研究網絡的成員，並將於2025年擔任 WiNE V 會議的組織者。